I've never been a manager, but my favorite managers always lead by example - they would take arbitrary time off, and would be completely unreachable during that

I've never been a manager, but my favorite managers always lead by example - they would take arbitrary time off, and would be completely unreachable during that time. As a senior eng, I try to do the same when I have time off - work notifications are muted, and my away message is typically set to "I'm away for X days. If you to reach me, no, you don't."